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Finding the Fourth Proportional to 564,229.82, 846,399.27 and 164,861.48

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Solution

The fourth proportional to 564,229.82, 846,399.27 and 164,861.48 is: 247,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229.82 : 846,399.27 = 164,861.48 : x
  2. Step 2: Convert to fraction form
    564,229.82/846,399.27 = 164,861.48/x
  3. Step 3: Cross multiply
    564,229.82x = 846,399.27 × 164,861.48
  4. Step 4: Simplify right side
    564,229.82x = 139,538,636,323.12
  5. Step 5: Solve for x
    x = 139,538,636,323.12/564,229.82
  6. Step 6: Final answer
    x = 247,308.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.